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If u(n)=sin(n theta) sec^(n) theta, v(n...

If `u_(n)=sin(n theta) sec^(n) theta, v_(n)=cos(n theta) sec^(n) theta , n in N, n ne 1," then " (v_(n)-v_(n-1))/(u_(n-1))+(1)/(n)(u_(n))/(v_(n))=`

A

a) `0`

B

b) `tan theta`

C

c) `-tan theta+ (tan n theta)/(n)`

D

d) `tan theta + tan theta + (tan n theta)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
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